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Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 65 Page 34

Use the formula for the area of a circle.

6 inches

Practice makes perfect

We are given that the area of a circle equals 36 π square inches and we want to find its radius.

First, let's recall the formula for the area of a circle. In the formula A is the area and r is the radius. A=π r^2 In our case, the area is given to be 36π square inches. By substituting this into the formula, we can solve for r.

A=π r^2

Substitute

A= 36π

36π=π r^2

DivEqn

.LHS /π.=.RHS /π.

36=r^2

RearrangeEqn

Rearrange equation

r^2=36

SqrtEqn

sqrt(LHS)=sqrt(RHS)